256746456 has 64 divisors (see below), whose sum is σ = 714780000. Its totient is φ = 85390848.

The previous prime is 256746419. The next prime is 256746481. The reversal of 256746456 is 654647652.

256746456 is a `hidden beast` number, since 2 + 567 + 46 + 45 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121860 + ... + 123948.

Almost surely, 2^256746456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256746456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357390000).

256746456 is an abundant number, since it is smaller than the sum of its proper divisors (458033544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256746456 is a wasteful number, since it uses less digits than its factorization.

256746456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2663 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 256746456 is about 16023.3097704563. The cubic root of 256746456 is about 635.5769703791.

The spelling of 256746456 in words is "two hundred fifty-six million, seven hundred forty-six thousand, four hundred fifty-six".